Atkin-Lehner |
3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33759i |
Isogeny class |
Conductor |
33759 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6566400 |
Modular degree for the optimal curve |
Δ |
4.9840339529363E+24 |
Discriminant |
Eigenvalues |
1 3- 2 2 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-109467936,427579195819] |
[a1,a2,a3,a4,a6] |
Generators |
[14326224896250088060:-880002292727309954897:1389779446636736] |
Generators of the group modulo torsion |
j |
112331320422638310937/3859200593875737 |
j-invariant |
L |
7.7454491545219 |
L(r)(E,1)/r! |
Ω |
0.076321644216808 |
Real period |
R |
25.371076691297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11253a1 3069a1 |
Quadratic twists by: -3 -11 |